Geodesic
A New Class of Four-Point Fractional Sum Boundary Value Problems for Nonlinear Sequential Fractional Difference Equations Involving Shift Operators
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 371 .

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In this article, we study the existence result for a Riemann-Liouville fractional difference equation with four-point fractional sum boundary value conditions, by using the Sadovskii's fixed point theorem. Our problem contains the shift operators on fractional difference operators that are different orders. Finally, we present an example to show the importance of these result.
Classification : 39A05 39A12
Keywords: existence, fractional difference equations, fractional sum, boundary value problem 
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     author = {J. Reunsumrit and T. Sitthiwirattham},
     title = {A {New} {Class} of {Four-Point} {Fractional} {Sum} {Boundary} {Value} {Problems} for {Nonlinear} {Sequential} {Fractional} {Difference} {Equations} {Involving} {Shift} {Operators}},
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J. Reunsumrit; T. Sitthiwirattham. A New Class of Four-Point Fractional Sum Boundary Value Problems for Nonlinear Sequential Fractional Difference Equations Involving Shift Operators. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 371 . http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a4/